Mathematical statement Assignment | Professional Writing Services

1.Consider the mathematical statement of a problem given as: Governing equation d dx d dx  þ S0 x L ¼ 0 Boundary conditions 1: x ¼ 0, jx¼0 ¼ 0 2: x ¼ L, jx¼L ¼ L

(a) Obtain the functional form using the variational method.

(b) Obtain an approximate solution using the Rayleigh–Ritz method, assuming the approximate solution of the form  ¼ 0 þ a1 1 where 0ðxÞ¼ðL=LÞx and 1ðxÞ ¼ xðx  LÞ that satisfies the boundary conditions.

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